SOLUTION
The given equation is
[tex]6x+4y=12[/tex]
To graph the equation find the x and y intercepts
To find the x intercept, substitute y =0 into the equation
[tex]\begin{gathered} 6x+4(0)=12 \\ x=\frac{12}{6} \\ x=2 \end{gathered}[/tex]
Therefore the x intercept is at (2,0)
To find the y intercept, substitute x =0 into the equation
[tex]\begin{gathered} 6(0)+4y=12 \\ y=\frac{12}{4} \\ y=3 \end{gathered}[/tex]
Therefore the y intercept is at (0,3)
Plot the x and y intercepts
Draw a line through the plotted points to get the required graph of the line
The graph of the equation is shown.
